Quiz about Scaling and Area

Question 1

Trapezoid $$A’B’C’D$$ was created by dilating trapezoid $$ABCD$$ using $$D$$ as the center of dilation. Description: A large trapezoid A'B'C'D' comprised of smaller shapes on a grid. The blue shape ABCD is a smaller trapezoid. Triangle Q in top right corner. Quadrilateral P in lower right corner. How can you see your answer to these questions in the diagram?

Accepted Answer

There are 9 copies of ABCD within A'B'C'D. The original ABCD is the first one. There are 7 full congruent copies of ABCD. Figures P and Q together make an additional copy for total of 9.

Answer

3

Answer

9

Question 2

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Estimate the scale factor that was used for each dilation. Dilation A.

Accepted Answer

$$\frac34$$

Answer

$$\frac14$$

Answer

$$\frac12$$

Question 3

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Estimate the scale factor that was used for each dilation. Dilation B.

Accepted Answer

$$\frac14$$

Answer

$$\frac12$$

Answer

$$\frac34$$

Question 4

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Estimate the scale factor that was used for each dilation. Dilation C.

Accepted Answer

$$\frac12$$

Answer

$$\frac34$$

Answer

$$\frac14$$

Question 5

Select the solid whose cross sections are dilations of some two-dimensional shape using a point directly above the shape as a center and scale factors ranging from 0 to 1.

Accepted Answer

cone

Answer

cube

Answer

cylinder

Answer

triangular prism

Question 6

What is the total surface area of the triangular prism shown?

Accepted Answer

468 in2

Answer

540 in2

Answer

576 in2

Answer

700 in2

Question 7

A square pyramid is covered with decorative wrapping paper with no overlap. The net of the box is shown on the right. How many square centimeters of wrapping paper are needed to cover the surfaces of the box?

Accepted Answer

180 cm2

Answer

108 cm2

Answer

324 cm2

Answer

432 cm2

Question 8

When finding Surface Area which type of units could be on the end of your answer?

Accepted Answer

cm2

Answer

mm

Answer

in3

Answer

ft4

Answer

minion8

Question 9

If the scale factor is greater than 1, the new figure will be

Accepted Answer

an enlargement

Answer

a reduction

Answer

a scale factor

Answer

bigger

Question 10

If the scale factor is less than 1, the new figure will be

Accepted Answer

a reduction

Answer

an enlargement

Answer

a scale factor

Answer

bigger

Question 11

The comic store by my house sells regular-sized and big-sized dice. The guy Steve said that because the edge of the Big Die was 4 times longer than the edge of the Small Die, it was also 4 times the size of the Small Die. What do you think?

Accepted Answer

Steve wrong. The Big Die is 64 times the size of the Small Die.

Accepted Answer

Steve both right and wrong. He is colloquially right but mathematically wrong, leave him alone.

Answer

Steve right. The Big Die is 4 times the size of the Small Die.

Answer

Steve neither right nor wrong. The claim his opinion is based on is unproven. Did he measure both die to millimeter precision?

Scaling and Area

14 questions

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Estimate the scale factor that was used for each dilation. Dilation A.

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Estimate the scale factor that was used for each dilation. Dilation B.

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Estimate the scale factor that was used for each dilation. Dilation C.

Select the solid whose cross sections are dilations of some two-dimensional shape using a point directly above the shape as a center and scale factors ranging from 0 to 1.

What is the total surface area of the triangular prism shown?

Find the surface area of this figure.

A square pyramid is covered with decorative wrapping paper with no overlap. The net of the box is shown on the right. How many square centimeters of wrapping paper are needed to cover the surfaces of the box?

When finding Surface Area which type of units could be on the end of your answer?

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